What is the value of sin A? A. 9/12 B. 12/9 C. 9/15 D. 12/15

LenKa [72]

Hello!

To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.

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First, move the /2 to the other side of the equation.

(a+1)/2 = 1/a

a+1 = 2/a

Next, multiply both sides by a.

a+1 = 2/a

$a^{2} +a=2$

And then subtract both sides by 2. This will get you to a quadratic equation.

$a^{2} +a=2$

$a^{2} +a-2=0$

Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.

Therefore:

$a^{2} +a-2=0$

(a + 2)(a - 1) = 0

To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.

Therefore, a = -2, or a = 1.

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Check your work:

(-2 + 1)/2 = 1/-2

-1/2 = -1/2

(1 + 1)/2 = 1/1

2/2 = 1/1

1 = 1

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Hope this helps!

6 0

3 years ago

A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen

lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

H₀: The proportion of people who include locally grown foods in their diets is p.

Hₐ: The proportion of people who include locally grown foods in their diets is difference from p.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0

4 years ago

Read 2 more answers

(x - 4)2 + (y + 6)2 = 52

antiseptic1488 [7]

Answer:

Radius r = ±√52

Coordinates of center =

Step-by-step explanation:

Points to remember

Equation of a circle passing through the point (x1, y1) and radius r is given by

(x - x1)² + (y - y1)² = r ²

To find the radius and coordinates of center

It is given that an equation of circle,

(x - 4)² + (y + 6)² = 52

Compare two equations,

we get r ² = 52

r = ±√52

(x - x1)² = (x - 4)² then x1 = 4

(y - y1)² = (y + 6)² then y1 = -6

Coordinates of center = (4, -6)

3 0

4 years ago

Read 2 more answers

Which expression represents the phrase "the cost of p pounds of rice at $1.97 per pound"?

STALIN [3.7K]

That would be p times 1.97 or 1.97p (letter D) this is because each pound is worth 1.97 dollars more so if you bought 1 pound of rice you'd pay only $1.97 but if you bought 5 pounds of rice you'd pay $9.85 since 1.97 times 5 is 9.85

Hope this helped!

Let me know if this helped!

5 0

3 years ago

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST

shusha [124]

Answer:

A. 49 + 16 (t - 1)

Step-by-step explanation:

Plug in t = 1 to test for the first hour:

$49+16(1-1)=49+16(0)=49$

Test as many values as you like, but testing t = 5:

$49+16(5-1)=49+16(4)=49+64=113$

You can see that plugging in just a few values confirms the answer.

8 0

2 years ago